This paper presents the discpritive statistics and analysis on the supported research project on the field of Complexity Science and its application to Economics by the Department of Management Sciences, National Natural Science Foundation of China (NSFC) since 1986. Meanwhile, it reviews the current research on Complexity Science and Complexity Economics that emerged from the mix of Complexity Science and Economics, and sumerizes the academic progress achieved by domestic and foregin scholars, as well as the trend in the near future. Based on this work, we are intend to provide a reference for the researcher in the related areas, so that to push the frontier of studies on the management of complexity system, and further offer policy implications for the 14th five-year subject plan of the Department of Management Sciences, as well as theorectic support for the improvement on national economic governance system.